Try this problem from IIT JAM 2017 exam. It deals with evaluating Limit of a function.
Let
Then which one of the following is true?
Real Analysis
Function
Limit
Answer: exists but
does not exists
IIT JAM 2017 , Problem 8
Given that,
therefore,
Let,
and ,
Now,
Theorem : If and
. Let
. If f is bounded on
and
, then
.
Now , is bounded in
and
, then
exists and equal to
.
But,
does not exists [Why?]
Then exists but
does not.
Try this problem from IIT JAM 2017 exam. It deals with evaluating Limit of a function.
Let
Then which one of the following is true?
Real Analysis
Function
Limit
Answer: exists but
does not exists
IIT JAM 2017 , Problem 8
Given that,
therefore,
Let,
and ,
Now,
Theorem : If and
. Let
. If f is bounded on
and
, then
.
Now , is bounded in
and
, then
exists and equal to
.
But,
does not exists [Why?]
Then exists but
does not.